2240404400224 has 48 divisors (see below), whose sum is σ = 4487718770640. Its totient is φ = 1100684615680.

The previous prime is 2240404400219. The next prime is 2240404400239. The reversal of 2240404400224 is 4220044040422.

It is a super-2 number, since 2×2240404400224² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2240404400192 and 2240404400201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3643812 + ... + 4214044.

It is an arithmetic number, because the mean of its divisors is an integer number (93494141055).

Almost surely, 2^{2240404400224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240404400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243859385320).

2240404400224 is an abundant number, since it is smaller than the sum of its proper divisors (2247314370416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2240404400224 is a wasteful number, since it uses less digits than its factorization.

2240404400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572383 (or 572375 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2240404400224 its reverse (4220044040422), we get a palindrome (6460448440646).

It can be divided in two parts, 224040 and 4400224, that added together give a palindrome (4624264).

The spelling of 2240404400224 in words is "two trillion, two hundred forty billion, four hundred four million, four hundred thousand, two hundred twenty-four".